quadratic problem

Hm.. can you explain further for the 3:1 ratio is it for the variable b or the variable x?

I get it now. Okay so first, look at the constant term 18. we need some 2 numbers to be in a 3:1 ratio and multiply to get 18 so

$xy=18$

$4y=x$

from this system of equations we get

$y = \sqrt{4.5}$

$x = \sqrt{72}$

these are the 2 solutions the this quadratic.

we can express this as

$(x - \sqrt{4.5})(x-\sqrt{72}) = 0$

so b is equal to $\sqrt{4.5} + \sqrt{72}$

hope this helped(i hope this is not wrong)